Is “The Battle of Mingtiao: He defeated Jie of Xia and established the Shang dynasty.” true?

According to the "Records of the Grand Historian: Annals of Xia", it is recorded: “汤遂率兵以伐夏桀。桀走鸣条，遂放而死……汤乃践天子位，代夏朝天下。” The "Book of Documents: The Speech at Tang's Conquest" and the "Records of the Grand Historian: Annals of Yin" and other official historical texts provide extremely clear accounts of Tang of Shang raising troops, banishing Jie to Nanchao, and overthrowing the Xia to establish the Shang dynasty.